This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A365192 #6 Aug 25 2023 10:00:53
%S A365192 1,1,6,48,443,4445,47107,518835,5880223,68130860,803369481,9609294542,
%T A365192 116310009888,1421951861817,17533301767624,217796367181117,
%U A365192 2722942699583650,34236790400004432,432649744252128084,5492060945760586212,69998993052214823013
%N A365192 G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^2).
%F A365192 a(n) = Sum_{k=0..n} binomial(2*n+3*k+1,k) * binomial(n-1,n-k)/(2*n+3*k+1).
%o A365192 (PARI) a(n) = sum(k=0, n, binomial(2*n+3*k+1, k)*binomial(n-1, n-k)/(2*n+3*k+1));
%Y A365192 Cf. A002295, A243667, A349332, A364748, A365193, A365194.
%Y A365192 Cf. A365186.
%K A365192 nonn
%O A365192 0,3
%A A365192 _Seiichi Manyama_, Aug 25 2023